Write Python functions for the Euler, Midpoint, and Classic RK-4 methods of solving IVPs. Save all...

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Write Python functions for the Euler, Midpoint, and Classic RK-4 methods of solving IVPs. Save all functions to a file called A4.py. Valid call: Inputs: Outputs: Assumptions: T, Y = euler_integrate (fun, to, yo, tstop, h) fun : (callable) ODE function handle to yo h T (float) Initial time step (float or 1D numpy array) Initial value of y corresponding to to (float) Final time step (float) Step size (1D numpy array) integrated t-values : (1D or 2D numpy array) integrated y-values tStop: Y : : : : The ODE function is called by: dydt = fun (t, y) h will be provided such that the solver will not step past tstop Note: Aside from the function names, the information above is the same for midpoint integrate and RK4_integrate. Write Python functions for the Euler, Midpoint, and Classic RK-4 methods of solving IVPs. Save all functions to a file called A4.py. Valid call: Inputs: Outputs: Assumptions: T, Y = euler_integrate (fun, to, yo, tstop, h) fun : (callable) ODE function handle to yo h T (float) Initial time step (float or 1D numpy array) Initial value of y corresponding to to (float) Final time step (float) Step size (1D numpy array) integrated t-values : (1D or 2D numpy array) integrated y-values tStop: Y : : : : The ODE function is called by: dydt = fun (t, y) h will be provided such that the solver will not step past tstop Note: Aside from the function names, the information above is the same for midpoint integrate and RK4_integrate.

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Heres a Python script with functions for Euler Mid... View the full answer